Finding the Third Proportional to 59,424 and 140,238

Step by Step Solution

1. Step 1: Write the proportion equation
   59,424 : 140,238 = 140,238 : x
2. Step 2: Convert to fraction form
   59,424/140,238 = 140,238/x
3. Step 3: Cross multiply
   59,424x = 140,238 × 140,238
4. Step 4: Simplify right side
   59,424x = 19,666,696,644
5. Step 5: Solve for x
   x = 19,666,696,644/59,424
6. Step 6: Final answer
   x = 330,955.45